Research on an Improved Power Factor Correction Method Based on Single-Cycle Control Wenwen Zhang1, a, Zilong Liu2, b Jidong Xia3, c

Size: px
Start display at page:

Download "Research on an Improved Power Factor Correction Method Based on Single-Cycle Control Wenwen Zhang1, a, Zilong Liu2, b Jidong Xia3, c"

Transcription

1 nd Internatinal Cnference n Electrnic, Netwrk and Cuter Engineering (ICENCE 06) Reearch n an Irved wer Factr Crrectin Methd Baed n ingle-cycle Cntrl Wenwen Zhang, a, Zilng Liu, b Jidng Xia3, c niverity f hanghai fr cience and Technlgy, chl f tical-electrical and Cuting Engineering, hanghai, China, a eail, beail, ceail, Keywrd: wer Factr Crrectin, ne Cycle Cntrl, Circuit Tlgy, tability Abtract. Analyi the cnventinal tlgy f Bt wer factr crrectr and inut uivalent circuit and int ut that cnventinal tlgy f Bt wer factr crrectr exit with irveent f cnverter wer and the witching fruency. The efficiency f yte i greatly reduced. The aer re a dified wer factr crrectr,analyze the dified Bt circuit tlgy,baic rincile, analyze the irved ne-cycle cntrl uatin f the circuit, give the electin f araeter f the ain cnent with theretical bai analyze the deign f cntrl yte f the I regulatr in thery and calibrate the cntrl yte a tyical Ⅱ tye yte, irve the anti-jaing ability and tability f the yte, and ake a rttye t rve the validity f theretical reult. Intrductin With the develent f wer electrnic technlgy, re and re wer int the grid rectifier ued in the benefit f the wer indutry, but al t the large nuber f harnic injected int the wer grid, AFC (Active wer Factr Crrectin) active wer factr crrectin al It ha bece a ht reearch chlar, traditinal Bt wer factr crrectin circuit becaue the circuit by M tranitr witching fruency f liit [-5], baed n the CC (ne Cycle Cntrl) wer factr can reduce the ultilier and inut vltage detectin circuit, any chlar ingle and three-hae cnverin are ade baed n ne week f FC circuit, baed n the rincile f quai-teady tate cntrl, CC FC cnverter can be cnidered a deeed t DC-DC cnverin architecture teady-tate eratin f the witch in a ingle week, if the inut fr end cntrl hae vltage and hae current rati i a cntant, it can be regarded a a wer factr f. At reent, t reearch fcue n the wer fruency f (50Hz) cae, a hwn in Figure i a cheatic diagra f a cnventinal ingle-cycle cntrlled Bt cnverter, naely: after bridge rectifier cnnected Bt circuit, a wer crrectin circuit can be reved later in the bridge rectifier the large filter caacitr C, that the utut vltage f the rectifier behind half ine wave, Bt will change jut by changing the duty cycle f the inuidal utut vltage i higher than the axiu cntant DC vltage, which i t nitr the cre eence f the half-wave rectified half-wave vltage, the current tracking vltage, Bt cnverter will rie and fall alng the half-ine curve different vltage int a DC vltage rincile i, in a erid T witch i turned n fr e tie TN, energy trage inductr L, when the witch i turned ff, the inductr L are revered larity. 06. The authr - ublihed by Atlanti re 959

2 Fig cheatic f cnventinal bt cnverter When the dt L end f the inductr vltage rie higher than the inut vltage V in, witch, the inductance energy t rvide energy L t the lad thrugh VD, ff, during trage f T N thi cnverter utut - inut vltage relatinhi a fllw: VIN V () T N T The ain tak f the wer factr crrectin circuit i the ue f Bt cnverter will be cnverted int table alng half ine wave vltage rie and fall f nwhere than the axiu alitude f the inut inuidal vltage lightly higher DC vltage utut, wer factr crrectin circuit f the ecnd circuit the ain tak i t detect the inut current f the wer grid, and inut it int the grid vltage inuidal hae [7-8]. The ain rincile i t cntrl the chi grid aling f current and inuidal current reference i cared, the difference between thee tw ine wave will rduce an errr vltage, the errr vltage t adjut the turn-n vltage, that the grid current ale and the reference ine current have the ae alitude and hae, in Figure, the ine itive thrughut the erid, there will alway be tw fur bridge rectifier witching device will be turned n, regardle f the tage rtin ine itive r negative axle axle there will be a freewheeling dide r a M tranitr i turned n at all tie, that any three f the witching device i turned n, the increae with the increae f the witching device and witching fruency, witching le will increae, the verall yte l will increae, that the verall efficiency will be reduced. T lve thi rble thi aer fr CC FC circuit tructure analyi, t rvide an irved CC FC circuit, it i ible t irve the tability and rbutne f the yte. General CC FC Cnverter Inut Equivalent Circuit and Analyi Thi aer analyze the ingle-hae CC FC circuit, Figure hw the ain ingle-hae CC FC ain circuit tlgy, within a erid f the utut vltage can be cnidered cntant aunt, the entire cntrller utut teady-tate value, wherein i the inut aling reitr grid, the tranfer functin H i the vltage cntrl. V ( ) iin(t) z AC in(t) in(wt) + (t) - + C - R R R / Dff(t) HV() Kv ref + Fig CC FC cnverter chart Thrughut the everal cnecutive witching cycle AC / DC cnverter can be cnidered a teady-tate eratin f DC / DC cnverter circuit, the inut vltage in(t) and the reference vltage ref circuit, which can be arxiated by the uatin. D () in( t ) ff ref 960

3 Wherein D ff i the witch ff when the duty cycle, but al by the inut D current aling ff reitr i in(t) and the rduct f the entire cntrller R teady-tate utut rati baed n the calculated araeter, the araeter are calculated a fllw: D i ( t) R in ff () We need t get the uivalent circuit f FIG. 3, the circuit by the reence f the fllwing uatin, in( t) iin( t) R (3) Ang the, the uivalent reitance i a fllw. R ( R ) / (4) iin(t) in(t) R Irved FC Circuit Diagra Fig 3 CC FC inut uivalent circuit Accrding t the literature [5], irved FC circuit, a hwn, the circuit analyi thery, Fig 4 Irved FC circuit tlgy Circuit can be brken ver the entire erid f fur tate circuit cheatic [9-], the fur kind f uivalent circuit diagra, the itive half cycle f the inuidal AC circuit, the uivalent circuit diagra f tw 5 Fr the Fig. 5 (a) circuit, the itive half cycle inuidal vltage alternating current fr charging the inductr L, cling witch M tranitr, VD cntrlled cnductin, thi tate 4 caacitr C t rvide energy lad; when cled M tranitr, which i uivalent t circuit hwn in Figure (b) inverting the larity f inductr L, cntrlled anti-arallel araitic dide cnducting, fr wering lad while caacitr C i charged. 96

4 Fig 5 The half circle inuidal vltage inuidal vltage negative half-cycle tie, wrk tie uivalent circuit diagra f the circuit hwn in Figure 6, which wrk a fllw, FIG. 6 (c) cheatic, i cled at thi tie M tranitr i turned n, the flw thrugh the witch anti-arallel dide, and the caacitr lad C, when the witch i turned ff when the inductance L f the larity i inverted, VD cnductin cntrlled t rvide energy lad while the utut caacitr C t rvide energy, cntrlled anti-arallel dide i turned n. Fig 6 inuidal vltage negative half-cycle Baed n the abve analyi, the cnventinal ingle-cycle cntrl f wer factr crrectin, there are three witching device i turned n, the irved wer factr crrectin ha tw witching device turned n during any erid in any erid ince the M and cn grund, n external ilatin circuit, driving circuit i ile, due t lwer wer cnutin, it i uitable fr ediu and high-wer alicatin. The Main Cntrl cheatic f Irved wer Factr Crrectin Circuit 96

5 ne cycle cntrl cntrl cre idea i t ake the average f the cntrl bject and witch variable in each erid f the reference aunt i rrtinal t [3]. ince the witch tube drive circuit i ile and a fruency fixed aunt, the circuit deign WM drive utut electing circuit ha tw ite WM circuit, cnly ued are: D fli-fl. Next, the circuit diagra araeter detailed derivatin and calculatin, a viewed fr the AC inut, auing wer factr crrectin i, the Bt cnverter i urely reitive, can be uivalent t R, and get cntrl f the bjective functin need. u R (5) i Wherein: u i the inut AC vltage. i i the current value f the AC inut. ince the itive and negative half cycle which are uivalent t the ae Bt cnverter circuit, the relatinhi between the inut and utut tabilizing circuit utut vltage can be uivalent t, u (6) Dn Wherein: i the terinal vltage acr the lad. D n i Duty M tube at wrk. Cnlidatin (5) and (6) in accrdance with the rincile f ual affrd, Ri ( Dn ) (7) T btain the reitance f the ale with the aling vltage, the uatin (7) i ultilied t bth ide f the aling reitr R, t give R R i R ( D ) R et R (8) Re ne cycle cntrl i btained cntrl uatin ( D ) Ri (9) T (8) n bth ide iultaneuly integrating in a witching cycle, T r DnVdt (0) Tr 0 (9) uatin can be ued t build the circuit, with reitance diviin ethd t cllect the lad 963 n

6 terinal vltage, and et a gd reference vltage, a difference thrugh I regulatr utut e ref a fr the r t btain a difference, will be and ubtractin a integratr alifier cnfigured a a caratr, the utut value reached when the difference between when the caratr utut inverted, the integratr i reet while the reet ignal [4]. Deign f ingle-cycle Cntrl I Regulatr ingle-week erfrance FC cntrl circuit that cntrl the ultiate gal i t ake the utut f R the vltage tability, accrding t, the araeter can be deterined by Re, accrding t the wer f the inut wer i ual t the utut wer t give, ut in lad + I cin () R Wherein: lad i the wer cnutin f the lad I cin : Current flwing thrugh the caacitr R R Accrding t, get R. Accrding t () t get R lad + I cin () R Affect the actual deign rce f all ignal erturbatin + u + u + u Wherein I C I C + icin, ince the caacitance I i negligible, t get the nuber f tranfer C line fr i cin t u. u (4) icin C In rder t btain ecnd-rder yte, adding inertia, rvided the tranfer functin f the regulatr + Q( ) (5) ( + ) It i lcated a blck diagra f the cntrl yte are a fllw (3) erid α i fr the cale factr f the vltage detectr, accrding t the tial deign tye Ⅱ yte, the bandwidth rvided in the h 5, the en-l tranfer functin fr the entire yte, α ( + ) K( + ) q( ) R C ( + ) ( + ) 964

7 The Verificatin f Exeriental Data h + T get w α C c K R The abve analyi f the data, t deign a FC rttye 50A irved ne-cycle cntrl, the DC utut vltage 50V, with DC electrnic lad under cntant tate current 3A, cntrlled M tranitr witching fruency i 0KHz; inductr L H, DC ide C 00uF ; adjuting the utut araeter 5, 8, 3 3.6, K The exeriental tet uing IV87 rgraable DC Electrnic Lad Teter, rgraed int the cntant gear 3A, the entire yte debugging circuit hwn in Figure 9, w c Fig.9 The rductin tet yte rttye ncrrected circuit current wavefr ditrtin i very eriu, yu can ue the THD (ttal harnic ditrtin) t eaure the ize f the araeter value, THD H n Gn ( ) G Calculated befre uncrrected a 78.4%, ingle-cycle cntrl FC circuit that crrect the wer factr dr t t, 50A rttye eauring the inut vltage and current wavefr in Figure 0, the current wavefr eriu ditrtin, wer factr lw Fig 0 Irved wer factr crrectin i nt added t the yte inut wavefr After the additin f irved wer factr crrectin yte, the yte fllw the wavefr hwn in Figure, Fig Irved wer factr crrectin yte wavefr The inut current wavefr tracking vltage, inut wer factr f ide eaure, in rder 965

8 t verify that the utut circuit efficiency rble, thi circuit eaure the efficiency f ultile et f data curve and wer factr crrectin f the cnventinal ingle-cycle cntrl utut efficiency curve were cared, t ee fr the abve data viualizatin t irve the efficiency f the yte, the efficiency f the circuit diagra hwn in Figure Fig Irved cntrat ingle-cycle cntrl and the efficiency f a cnventinal ingle-cycle cntrl Cncluin In thi aer, baed n ne week f irved cntrl f wer factr crrectin circuit, firt intrduced the yte circuit diagra f a cnventinal ingle-cycle cntrl, and ne-week wer factr crrectin circuit rincile f derivatin, intrduced cnventinal wer factr crrectin circuit the ain deign te, tw ain tak, the firt tak i the utut than the inut ine half-wave eak vltage large table DC utut vltage, the ecnd tak i t track the inut current ene inut vltage [5]. Becaue it alway ha three witch circuit i turned n within the entire cycle, leading t it efficiency i nt high enugh, in rder t lve thi aer reent an irved wer factr crrectin circuit analyi and derivatin f ingle-cycle cntrl uatin f yte deign cheatic, etablihed a ne-cycle cntrl uatin, and the t irtant deign I cntrller ha been deigned with the idea f derivatin f it deign, the final deign with a 50W ingle week baed n irved cntrl f wer factr crrectin the eauring circuit vltage and current wavefr with and withut wer factr crrectin circuit wavefr were cared, efficiency i irved by % -5%, the aer deign i ually alicable t a ingle week FCAT device cntrl. Reference [] Ma,Xie J,Xu A G,et al. Tranactin f china Electrnical ciety, Vl. (00) N5, -7 [] Wang, Ruan X,Ya K,et al. IEEE Tranactin n wer Electrnic, Vl. (0) N 7, [3] Wang B,Ruan X,Ya K,et al.ieee Tranactin n wer Electrnic, Vl. 3 (00) N 5, [4] Ni J,Zhang F,Yu Y,et al. Energy and Electrical Driver, Vl. 9 (0) N 7,.-6 [5] Chen W,Zhuang K,Ruan X.A. IEEE Tranactin n wer Electrnic, Vl. 9 (009) N 4, [6] Fang T,Ruan X,Te C K. IEEE Tranactin n wer Electrnic, Vl. 6 (00) N 5,. 966

9 [7] Zha B,Yu Q,un W X. IEEE Tranactin n wer Electrnc, Vl. (0) N 7,.-7 [8] Zhang Y W,Jin K,. rceeding f the CEE, Vl. 6 (0) N 3, [9] Hava A M,Cetin N. Tranactin n wer Electrnic, Vl. 5 (0) N 6, [0] Wu Y X,hafi M A,Knight A M,et al. IEEE Tranactin n wer, Vl. 9 (0) N 7,.-6 [] Chen W,Zhuang K,Ruan X.A. IEEE Tranactin n wer Electrnic Electrnic, Vl. (0) N 6,. 8-9 [] Bierhff M H,Fuch F W. IEEE Tranactin n Indutrial Electrnic, Vl. 5 (008) N 55, [3] Le J I.Lez,Franquel L G,et al. IEEE Tranactin n Indutrial Electrnic, Vl. 6 (00) N 57, [4] Chen W,Zhuang K,Ruan X. IEEE Tranactin n wer Electrnic,, Vl. 4 (009) N 9, [5] Bai H,Mi C. IEEE Tranactin n wer Electrnic, Vl. 6 (008) N 3,

Exclusive Technology Feature. Eliminate The Guesswork When Selecting Primary Switch V DD Capacitors. ISSUE: May 2011

Exclusive Technology Feature. Eliminate The Guesswork When Selecting Primary Switch V DD Capacitors. ISSUE: May 2011 Excluive Technlgy Feature Eliminate The Guewrk When Selecting Primary Switch DD aacitr by Ed Wenzel, STMicrelectrnic, Schaumburg, ll. SSUE: May 2011 A rimary witch, ued fr ff-line alicatin, ften cntain

More information

Double-Boost DC to DC Converter

Double-Boost DC to DC Converter Dule-Bt D t D nverter JFJ van enurg ), J ae ) and D Niclae ) ) aal Univerity f Technlgy, Faculty f Engineering & Technlgy, P. Bag X0, anderijlark, 900, Suth Africa ) Univerity f Jhanneurg, Pwer & ntrl

More information

(b) Using the ideal gas equation of state, and noting that the total mass of gas occupies the same total volume at the final state as initially: where

(b) Using the ideal gas equation of state, and noting that the total mass of gas occupies the same total volume at the final state as initially: where 6.55 Given: An inulated cylinder i initially divided int halve y a itn. On either ide the itn i a ga at a knwn tate. The itn i releaed and equiliriu i attained. Find: Deterine the inal reure, inal teerature,

More information

Name Student ID. A student uses a voltmeter to measure the electric potential difference across the three boxes.

Name Student ID. A student uses a voltmeter to measure the electric potential difference across the three boxes. Name Student ID II. [25 pt] Thi quetin cnit f tw unrelated part. Part 1. In the circuit belw, bulb 1-5 are identical, and the batterie are identical and ideal. Bxe,, and cntain unknwn arrangement f linear

More information

Lecture 13 - Boost DC-DC Converters. Step-Up or Boost converters deliver DC power from a lower voltage DC level (V d ) to a higher load voltage V o.

Lecture 13 - Boost DC-DC Converters. Step-Up or Boost converters deliver DC power from a lower voltage DC level (V d ) to a higher load voltage V o. ecture 13 - Bt C-C Cnverter Pwer Electrnic Step-Up r Bt cnverter eliver C pwer frm a lwer vltage C level ( ) t a higher la vltage. i i i + v i c T C (a) + R (a) v 0 0 i 0 R1 t n t ff + t T i n T t ff =

More information

Chapter 9 Compressible Flow 667

Chapter 9 Compressible Flow 667 Chapter 9 Cmpreible Flw 667 9.57 Air flw frm a tank thrugh a nzzle int the tandard atmphere, a in Fig. P9.57. A nrmal hck tand in the exit f the nzzle, a hwn. Etimate (a) the tank preure; and (b) the ma

More information

6. Frequency Response

6. Frequency Response 6. Frequency esnse eading: Sedra & Sith: hater.6, hater 3.6 and hater 9 (MOS rtins, EE 0, Winter 0, F. Najabadi Tyical Frequency resnse an liier U t nw we have ignred the caacitrs. T include the caacitrs,

More information

ECE-320: Linear Control Systems Homework 1. 1) For the following transfer functions, determine both the impulse response and the unit step response.

ECE-320: Linear Control Systems Homework 1. 1) For the following transfer functions, determine both the impulse response and the unit step response. Due: Mnday Marh 4, 6 at the beginning f la ECE-: Linear Cntrl Sytem Hmewrk ) Fr the fllwing tranfer funtin, determine bth the imule rene and the unit te rene. Srambled Anwer: H ( ) H ( ) ( )( ) ( )( )

More information

Simulation of Push-pull Multi-output Quasi-resonant Converter

Simulation of Push-pull Multi-output Quasi-resonant Converter IOSR Jurnal f Electrical and Electrnics Engineering (IOSR-JEEE) e-issn: 78-1676,p-ISSN: 3-3331, Vlue 9, Issue 1 Ver. V (Feb. 14), PP 19-4 Siulatin f Push-pull Multi-utput Quasi-resnant Cnverter T.Anitha

More information

Microelectronic Circuits II. Ch 8 : Frequency Response

Microelectronic Circuits II. Ch 8 : Frequency Response Micrelectrnic ircuit II h 8 : Frequency ene 8. -Frequency ene f S & E Amlifier NU EE 8.- Intrductin - ain i cntant indeendent f the frequency f the inut nal à infinite andidth à Nt true, - midand : ain

More information

Performance Evaluation and Control Technique of Large Ratio DC-DC Converter

Performance Evaluation and Control Technique of Large Ratio DC-DC Converter Internatinal Jurnal n Electrical Engineering and Infrmatic - Vlume, umber, 9 Perfrmance Evaluatin and Cntrl echnique f arge Rati DC-DC Cnverter Agu Purwadi, Ku Adi Nugrh, Firman Sangk, Kadek Fendy Sutrina

More information

Coupled Dual Interleaved Flyback Converter for High Input Voltage Application

Coupled Dual Interleaved Flyback Converter for High Input Voltage Application Culed Dual Interleaved Flyback Cnverter fr High Inut ltage Alicat Tg Qian, Brad Lehman rtheatern Univerity Det. Electrical & Cmuter Engeerg Btn, MA, 5, USA Abtract - Thi aer re an tegrated magnetic DC-DC

More information

Rotating Paddle Switch SITRANS LPS200. Functional Safety Manual 05/2016 SITRANS

Rotating Paddle Switch SITRANS LPS200. Functional Safety Manual 05/2016 SITRANS Rtating Paddle Switch Functinal Safety Manual 05/2016 SITRANS Table f cntent 1. SCOPE... 2 1.1. DEVICE IDENTIFICATION... 2 1.2. APPLICABLE DOCUMENTS... 3 1.3. RESTRICTIONS... 3 2. DEVICE DESCRIPTION...

More information

CONVECTION IN MICROCHANNELS

CONVECTION IN MICROCHANNELS CAPER. Intrductin CONVECION IN MICROCANNELS.. Cntinuu and hernaic ythei. Previu chater are baed n tw fundaental autin: () Cntinuu: Navier-Stke equatin, and the energy equatin are alicable () hernaic equilibriu:

More information

A Novel Isolated Buck-Boost Converter

A Novel Isolated Buck-Boost Converter vel slated uck-st Cnverter S-Sek Kim *,WOO-J JG,JOOG-HO SOG, Ok-K Kang, and Hee-Jn Kim ept. f Electrical Eng., Seul atinal University f Technlgy, Krea Schl f Electrical and Cmputer Eng., Hanyang University,

More information

Digital Current Sensorless Control for Dual-Boost Half-Bridge PFC Converter with Natural Capacitor Voltage Balancing

Digital Current Sensorless Control for Dual-Boost Half-Bridge PFC Converter with Natural Capacitor Voltage Balancing Thi article ha been accepted fr publicatin in a future iue f thi jurnal, but ha nt been fully edited. Cntent may change prir t final publicatin. Citatin infrmatin: DOI 0.09/TPE.06.59944, IEEE Tranactin

More information

Analysis of Energy Transmission Modes of Flyback Converter

Analysis of Energy Transmission Modes of Flyback Converter Senr & Tranducer l. 177 ue 8 Auut 014. 177-183 Senr & Tranducer 014 by FSA Publihin S.. htt://www.enrrtal.cm Analyi f Enery Tranmiin Mde f Flyback Cnverter 1 GONG Shu GONG Ren-Xi 3 WANG Kuan Cllee f Electrical

More information

Disclaimer: This lab write-up is not

Disclaimer: This lab write-up is not Diclaier: Thi lab write-up i nt t be cpied, in whle r in part, unle a prper reference i ade a t the urce. (It i trngly recended that yu ue thi dcuent nly t generate idea, r a a reference t explain cplex

More information

NONISOTHERMAL OPERATION OF IDEAL REACTORS Plug Flow Reactor. F j. T mo Assumptions:

NONISOTHERMAL OPERATION OF IDEAL REACTORS Plug Flow Reactor. F j. T mo Assumptions: NONISOTHERMAL OPERATION OF IDEAL REACTORS Plug Flw Reactr T T T T F j, Q F j T m,q m T m T m T m Aumptin: 1. Hmgeneu Sytem 2. Single Reactin 3. Steady State Tw type f prblem: 1. Given deired prductin rate,

More information

ME 315 Exam 2 Wednesday, November 11, 2015 CIRCLE YOUR DIVISION

ME 315 Exam 2 Wednesday, November 11, 2015 CIRCLE YOUR DIVISION ME 315 Exa edneday, Nveber 11, 015 Thi i a cled-bk, cled-nte exainatin. There i a frula heet rvided. Yu are al allwed t bring yur wn ne-age letter ize, dubleided crib heet. Yu ut turn ff all cunicatin

More information

7-84. Chapter 7 External Forced Convection

7-84. Chapter 7 External Forced Convection Chapter 7 External Frced Cnvectin 7-99 Wind i blwing ver the rf f a hue. The rate f heat tranfer thrugh the rf and the ct f thi heat l fr -h perid are t be deterined. Auptin Steady perating cnditin exit.

More information

ZVS Boost Converter. (a) (b) Fig 6.29 (a) Quasi-resonant boost converter with M-type switch. (b) Equivalent circuit.

ZVS Boost Converter. (a) (b) Fig 6.29 (a) Quasi-resonant boost converter with M-type switch. (b) Equivalent circuit. EEL6246 Pwer Electrnics II Chapter 6 Lecture 6 Dr. Sam Abdel-Rahman ZVS Bst Cnverter The quasi-resnant bst cnverter by using the M-type switch as shwn in Fig. 6.29(a) with its simplified circuit shwn in

More information

Frequency Response of Amplifiers

Frequency Response of Amplifiers 類比電路設計 (3349-004 Frequency epne f Aplifier h-uan an Natinal hun-h Univerity epartent f Electrical Eneer Overview ead B azavi hapter 6 ntrductin n thi lecture, we tudy the repne f le-tae and differential

More information

LaPlace Transforms in Design and Analysis of Circuits Part 2: Basic Series Circuit Analysis

LaPlace Transforms in Design and Analysis of Circuits Part 2: Basic Series Circuit Analysis LaPlace Tranfrm in Deign and Analyi f Circuit Part : Baic Serie Circuit Analyi Cure N: E- Credit: PDH Thma G. Bertenhaw, Ed.D., P.E. Cntinuing Educatin and Develpment, Inc. 9 Greyridge Farm Curt Stny Pint,

More information

rcrit (r C + t m ) 2 ] crit + t o crit The critical radius is evaluated at a given axial location z from the equation + (1 , and D = 4D = 555.

rcrit (r C + t m ) 2 ] crit + t o crit The critical radius is evaluated at a given axial location z from the equation + (1 , and D = 4D = 555. hapter 1 c) When the average bld velcity in the capillary is reduced by a factr f 10, the delivery f the slute t the capillary is liited s that the slute cncentratin after crit 0.018 c is equal t er at

More information

A Comparison of AC/DC Piezoelectric Transformer Converters with Current Doubler and Voltage Doubler Rectifiers

A Comparison of AC/DC Piezoelectric Transformer Converters with Current Doubler and Voltage Doubler Rectifiers A Cmparisn f AC/DC Piezelectric Transfrmer Cnverters with Current Dubler and ltage Dubler Rectifiers Gregry vensky, Svetlana Brnstein and Sam Ben-Yaakv* Pwer Electrnics abratry Department f Electrical

More information

Chapter 9. Design via Root Locus

Chapter 9. Design via Root Locus Chapter 9 Deign via Rt Lcu Intrductin Sytem perfrmance pecificatin requirement imped n the cntrl ytem Stability Tranient repne requirement: maximum verht, ettling time Steady-tate requirement :.. errr

More information

Relationships Between Frequency, Capacitance, Inductance and Reactance.

Relationships Between Frequency, Capacitance, Inductance and Reactance. P Physics Relatinships between f,, and. Relatinships Between Frequency, apacitance, nductance and Reactance. Purpse: T experimentally verify the relatinships between f, and. The data cllected will lead

More information

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC.

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC. PHYSIS 536 Experiment 4: D Pwer Supply I. Intrductin The prcess f changing A t D is investigated in this experiment. An integrated circuit regulatr makes it easy t cnstruct a high-perfrmance vltage surce

More information

Chapter 2 Analysis of Power System Stability by Classical Methods

Chapter 2 Analysis of Power System Stability by Classical Methods Chapter Analyi f wer Syte Stability by Claical Methd.1 Claical Mdel A dicued in the previu Chapter, the firt tep in analyzing pwer tability i t repreent the pwer yte cpnent atheatically. The iplet yet

More information

Bicycle Generator Dump Load Control Circuit: An Op Amp Comparator with Hysteresis

Bicycle Generator Dump Load Control Circuit: An Op Amp Comparator with Hysteresis Bicycle Generatr Dump Lad Cntrl Circuit: An Op Amp Cmparatr with Hysteresis Sustainable Technlgy Educatin Prject University f Waterl http://www.step.uwaterl.ca December 1, 2009 1 Summary This dcument describes

More information

Edexcel GCSE Physics

Edexcel GCSE Physics Edexcel GCSE Physics Tpic 10: Electricity and circuits Ntes (Cntent in bld is fr Higher Tier nly) www.pmt.educatin The Structure f the Atm Psitively charged nucleus surrunded by negatively charged electrns

More information

Sinusoidal Alternating Waveforms

Sinusoidal Alternating Waveforms /4 ircuit Anayi Sinuida Aternating Wavefr ectrica eecunicatin ngineering echngy Deartent Acknwedgeent want t exre y gratitude t Prentice Ha giving e the eriin t ue intructr ateria fr deveing thi due. wud

More information

Chapter 8. Root Locus Techniques

Chapter 8. Root Locus Techniques Chapter 8 Rt Lcu Technique Intrductin Sytem perfrmance and tability dt determined dby cled-lp l ple Typical cled-lp feedback cntrl ytem G Open-lp TF KG H Zer -, - Ple 0, -, -4 K 4 Lcatin f ple eaily fund

More information

Passive Energy Recovery Snubber Based DC-DC Boost Converter

Passive Energy Recovery Snubber Based DC-DC Boost Converter Paive Energy Recvery Snubber Baed - Bt nverter P. Radika Prfer, epartment f EEE,Adhiparaakthi Engineering llege, Melmaruvathur, India E-mail:radikaenthil@gmail.cm Abtract A dc-dc bt cnverter capable f

More information

Supplementary Course Notes Adding and Subtracting AC Voltages and Currents

Supplementary Course Notes Adding and Subtracting AC Voltages and Currents Supplementary Curse Ntes Adding and Subtracting AC Vltages and Currents As mentined previusly, when cmbining DC vltages r currents, we nly need t knw the plarity (vltage) and directin (current). In the

More information

NONISOTHERMAL OPERATION OF IDEAL REACTORS Continuous Flow Stirred Tank Reactor (CSTR)

NONISOTHERMAL OPERATION OF IDEAL REACTORS Continuous Flow Stirred Tank Reactor (CSTR) he 47 Fall 2005 LEURE 7 NONISOHERML OPERION OF IDEL REORS ntinuu Flw Stirred ank Reactr (SR) F, Q V F r F, Q V F Figure : Scheatic f SR with acket and cil uptin: Hgeneu yte a) Single Reactin υ 0 b) Steady

More information

Reactive Power Control of Isolated Wind-Diesel Hybrid Power Systems for Variable Slip

Reactive Power Control of Isolated Wind-Diesel Hybrid Power Systems for Variable Slip INDIAN INSTITUTE OF TECHNOLOGY, KHARAGUR 730, DECEMBER 79, 00 35 Reactive wer Cntrl f Islated WindDiesel Hybrid wer Systems fr Variable Slip R.C. Bansal, T.S. Bhatti, and D.. Kthari Abstract In this paper

More information

Optimization of frequency quantization. VN Tibabishev. Keywords: optimization, sampling frequency, the substitution frequencies.

Optimization of frequency quantization. VN Tibabishev. Keywords: optimization, sampling frequency, the substitution frequencies. UDC 519.21 Otimizatin f frequency quantizatin VN Tibabishev Asvt51@nard.ru We btain the functinal defining the rice and quality f samle readings f the generalized velcities. It is shwn that the timal samling

More information

Chapter 8 Sections 8.4 through 8.6 Internal Flow: Heat Transfer Correlations. In fully-developed region. Neglect axial conduction

Chapter 8 Sections 8.4 through 8.6 Internal Flow: Heat Transfer Correlations. In fully-developed region. Neglect axial conduction Chapter 8 Sectin 8.4 thrugh 8.6 Internal Flw: Heat Tranfer Crrelatin T v cu p cp ( rt) k r T T k x r r r r r x In fully-develped regin Neglect axial cnductin u ( rt) r x r r r r r x T v T T T T T u r x

More information

"NEET / AIIMS " SOLUTION (6) Avail Video Lectures of Experienced Faculty.

NEET / AIIMS  SOLUTION (6) Avail Video Lectures of Experienced Faculty. 07 NEET EXAMINATION SOLUTION (6) Avail Vide Lectures f Exerienced Faculty Page Sl. The lean exressin which satisfies the utut f this lgic gate is C = A., Whichindicates fr AND gate. We can see, utut C

More information

Applying Kirchoff s law on the primary circuit. V = - e1 V+ e1 = 0 V.D. e.m.f. From the secondary circuit e2 = v2. K e. Equivalent circuit :

Applying Kirchoff s law on the primary circuit. V = - e1 V+ e1 = 0 V.D. e.m.f. From the secondary circuit e2 = v2. K e. Equivalent circuit : TRANSFORMERS Definitin : Transfrmers can be defined as a static electric machine which cnverts electric energy frm ne ptential t anther at the same frequency. It can als be defined as cnsists f tw electric

More information

Impedance interaction modeling and analysis for bidirectional cascaded converters

Impedance interaction modeling and analysis for bidirectional cascaded converters Ipedance interactin deling and analyi fr bidirectinal cacaded cnverter Ite ype Wrking Paper Authr ian, Yanjun; Deng, Fujin; Chen, he; Sun, Xiafeng; Hu, Yanting Citatin Yanjun,., Fujin, D., he, C., Xiafeng,

More information

Control Systems Engineering ( Chapter 7. Steady-State Errors ) Prof. Kwang-Chun Ho Tel: Fax:

Control Systems Engineering ( Chapter 7. Steady-State Errors ) Prof. Kwang-Chun Ho Tel: Fax: Control Sytem Engineering ( Chapter 7. Steady-State Error Prof. Kwang-Chun Ho kwangho@hanung.ac.kr Tel: 0-760-453 Fax:0-760-4435 Introduction In thi leon, you will learn the following : How to find the

More information

Design and Simulation of Dc-Dc Voltage Converters Using Matlab/Simulink

Design and Simulation of Dc-Dc Voltage Converters Using Matlab/Simulink American Jurnal f Engineering Research (AJER) 016 American Jurnal f Engineering Research (AJER) e-issn: 30-0847 p-issn : 30-0936 Vlume-5, Issue-, pp-9-36 www.ajer.rg Research Paper Open Access Design and

More information

Digital Filter Specifications. Digital Filter Specifications. Digital Filter Design. Digital Filter Specifications. Digital Filter Specifications

Digital Filter Specifications. Digital Filter Specifications. Digital Filter Design. Digital Filter Specifications. Digital Filter Specifications Digital Filter Deign Objetive - Determinatin f a realiable tranfer funtin G() arximating a given frequeny rene eifiatin i an imrtant te in the develment f a digital filter If an IIR filter i deired, G()

More information

CHAPTER 13 FILTERS AND TUNED AMPLIFIERS

CHAPTER 13 FILTERS AND TUNED AMPLIFIERS HAPTE FILTES AND TUNED AMPLIFIES hapter Outline. Filter Traniion, Type and Specification. The Filter Tranfer Function. Butterworth and hebyhev Filter. Firt Order and Second Order Filter Function.5 The

More information

Modeling and Analysis of Pulse Skip Modulation *

Modeling and Analysis of Pulse Skip Modulation * Mar. Jurnal f Electrnic Science and echnlgy f China Vl. N. Mdeling and Analyi f Pule Skip Mdulatin * LUO Ping, ZHANG B, WANG Shun-ping, FENG Yng Schl f Micrelectrnic and Slid-State Electrnic, Univerity

More information

Grumman F-14 Tomcat Control Design BY: Chike Uduku

Grumman F-14 Tomcat Control Design BY: Chike Uduku Grumman F-4 Tmcat Cntrl Deign BY: Chike duku I. Atract SECTIONS II. III. IV. Deign jective eaured Cntant Deign V. Reult VI. VII. Cncluin Cmplete atla Cde I. Atract Deigning cntrller fr fighter jet i a

More information

Projectile Motion. What is projectile? Projectile -Any object which projected by some means and continues to move due to its own inertia (mass).

Projectile Motion. What is projectile? Projectile -Any object which projected by some means and continues to move due to its own inertia (mass). Prjectile Mtin AP Phyic B What i prjectile? Prjectile -Any bject which prjected by me mean and cntinue t me due t it wn inertia (ma). 1 Prjectile me in TWO dimenin Since a prjectile me in - dimenin, it

More information

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter).

Three charges, all with a charge of 10 C are situated as shown (each grid line is separated by 1 meter). Three charges, all with a charge f 0 are situated as shwn (each grid line is separated by meter). ) What is the net wrk needed t assemble this charge distributin? a) +0.5 J b) +0.8 J c) 0 J d) -0.8 J e)

More information

OP AMP CHARACTERISTICS

OP AMP CHARACTERISTICS O AM CHAACTESTCS Static p amp limitatins EFEENCE: Chapter 5 textbk (ESS) EOS CAUSED BY THE NUT BAS CUENT AND THE NUT OFFSET CUENT Op Amp t functin shuld have fr the input terminals a DC path thrugh which

More information

Conservation of Momentum

Conservation of Momentum Cnervatin f Mmentum PES 1150 Prelab Quetin Name: Lab Statin: 003 ** Diclaimer: Thi re-lab i nt t be cied, in whle r in art, unle a rer reference i made a t the urce. (It i trngly recmmended that yu ue

More information

Copyright Paul Tobin 63

Copyright Paul Tobin 63 DT, Kevin t. lectric Circuit Thery DT87/ Tw-Prt netwrk parameters ummary We have seen previusly that a tw-prt netwrk has a pair f input terminals and a pair f utput terminals figure. These circuits were

More information

Chapter 4. Unsteady State Conduction

Chapter 4. Unsteady State Conduction Chapter 4 Unsteady State Cnductin Chapter 5 Steady State Cnductin Chee 318 1 4-1 Intrductin ransient Cnductin Many heat transfer prblems are time dependent Changes in perating cnditins in a system cause

More information

R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder

R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder R. W. Erickon Department of Electrical, Computer, and Energy Engineering Univerity of Colorado, Boulder ZOH: Sampled Data Sytem Example v T Sampler v* H Zero-order hold H v o e = 1 T 1 v *( ) = v( jkω

More information

Oscillator. Introduction of Oscillator Linear Oscillator. Stability. Wien Bridge Oscillator RC Phase-Shift Oscillator LC Oscillator

Oscillator. Introduction of Oscillator Linear Oscillator. Stability. Wien Bridge Oscillator RC Phase-Shift Oscillator LC Oscillator Oscillatr Intrductin f Oscillatr Linear Oscillatr Wien Bridge Oscillatr Phase-Shift Oscillatr L Oscillatr Stability Oscillatrs Oscillatin: an effect that repeatedly and regularly fluctuates abut the mean

More information

ECE 2100 Circuit Analysis

ECE 2100 Circuit Analysis ECE 2100 Circuit Analysis Lessn 25 Chapter 9 & App B: Passive circuit elements in the phasr representatin Daniel M. Litynski, Ph.D. http://hmepages.wmich.edu/~dlitynsk/ ECE 2100 Circuit Analysis Lessn

More information

University of Southern California School Of Engineering Department Of Electrical Engineering

University of Southern California School Of Engineering Department Of Electrical Engineering Unverty f Suthern afrna Sch Of Enneern Deartent Of Eectrca Enneern EE 48: ewrk nent # fa, Due 9/7/ ha Fure : The redrawn cnfuratn f "F P." t b t a Gven the fure, ne can wrte the fwn equatn: λ t t { λ }

More information

Induction Motor Drive

Induction Motor Drive Induction Motor Drive 1. Brief review of IM theory.. IM drive characteritic with: Variable input voltage Variable rotor reitance Variable rotor power Variable voltage and variable frequency, VVVF drive

More information

Dual and broadband power dividers at microwave frequencies based on composite right/left handed (CRLH) lattice networks

Dual and broadband power dividers at microwave frequencies based on composite right/left handed (CRLH) lattice networks Dual and bradband wer divider at micrwave frequencie baed n cmite right/left handed (CH) lattice netwrk P. Vélez*, J.Bnache, F. Martín GEMMA/CIMITEC, Deartament d Enginyeria Electrònica, Univeritat Autònma

More information

Current/voltage-mode third order quadrature oscillator employing two multiple outputs CCIIs and grounded capacitors

Current/voltage-mode third order quadrature oscillator employing two multiple outputs CCIIs and grounded capacitors Indian Jurnal f Pure & Applied Physics Vl. 49 July 20 pp. 494-498 Current/vltage-mde third rder quadrature scillatr emplying tw multiple utputs CCIIs and grunded capacitrs Jiun-Wei Hrng Department f Electrnic

More information

PRINCIPLES AND PRACTICE OF ENGINEERING ELECTRICAL AND COMPUTER ENGINEERING BREADTH MORNING SAMPLE TEST SOLUTIONS

PRINCIPLES AND PRACTICE OF ENGINEERING ELECTRICAL AND COMPUTER ENGINEERING BREADTH MORNING SAMPLE TEST SOLUTIONS PRINCIPES AND PRACTICE OF ENGINEERING EECTRICA AND COMPUTER ENGINEERING BREADTH MORNING SAMPE TEST SOUTIONS Slutin (and Tet) by Kenneth. Kaier, P.E., Ph.D. Prfer ECE Department Kettering Univerity Flint,

More information

SOFT MASSIVE SPRING Objectives: Apparatus: Introduction:

SOFT MASSIVE SPRING Objectives: Apparatus: Introduction: SOFT MASSIVE SPRING Objectives: ) T deterine the spring cnstant and the ass crrectin factr fr the given sft assive spring by static (equilibriu extensin) ethd. 2) T deterine the spring cnstant and the

More information

Analysis the Transient Process of Wind Power Resources when there are Voltage Sags in Distribution Grid

Analysis the Transient Process of Wind Power Resources when there are Voltage Sags in Distribution Grid Analyi the Tranient Proce of Wind Power Reource when there are Voltage Sag in Ditribution Grid Do Nhu Y 1,* 1 Hanoi Univerity of ining and Geology, Deartment of Electrification, Electromechanic Faculty,

More information

An Experimental Study for Mixed Convection through a Circular Tube Filled with Porous Media and Fixed Horizontally and Inclined

An Experimental Study for Mixed Convection through a Circular Tube Filled with Porous Media and Fixed Horizontally and Inclined www.ccenet.rg/ma Mdern Applied Science Vl., N. ; April 0 An Experimental Study fr Mixed Cnvectin thrugh a Circular Tube Filled with Pru Media and Fixed Hrizntally and Inclined Taheen Ahmad Taheen Mechanical

More information

Section Induction motor drives

Section Induction motor drives Section 5.1 - nduction motor drive Electric Drive Sytem 5.1.1. ntroduction he AC induction motor i by far the mot widely ued motor in the indutry. raditionally, it ha been ued in contant and lowly variable-peed

More information

Harmonic Motion (HM) Oscillation with Laminar Damping

Harmonic Motion (HM) Oscillation with Laminar Damping Harnic Mtin (HM) Oscillatin with Lainar Daping If yu dn t knw the units f a quantity yu prbably dn t understand its physical significance. Siple HM r r Hke' s Law: F k x definitins: f T / T / Bf x A sin

More information

Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10]

Medium Scale Integrated (MSI) devices [Sections 2.9 and 2.10] EECS 270, Winter 2017, Lecture 3 Page 1 f 6 Medium Scale Integrated (MSI) devices [Sectins 2.9 and 2.10] As we ve seen, it s smetimes nt reasnable t d all the design wrk at the gate-level smetimes we just

More information

Voltage Control of Standalone Photovoltaic System

Voltage Control of Standalone Photovoltaic System TERATOAL JOURAL f REEWABLE EERGY RESEARCH Seif Eddine Bukebbu et al., Vl.4,., 4 Vltage Cntrl f Standalne Phtvltaic Sytem Seif Eddine Bukebbu*, Meaud Khelif**, Djallel Kerdun* *Deartment f Electrtechnic,

More information

Question 1 Equivalent Circuits

Question 1 Equivalent Circuits MAE 40 inear ircuit Fall 2007 Final Intruction ) Thi exam i open book You may ue whatever written material you chooe, including your cla note and textbook You may ue a hand calculator with no communication

More information

Lab 11 LRC Circuits, Damped Forced Harmonic Motion

Lab 11 LRC Circuits, Damped Forced Harmonic Motion Physics 6 ab ab 11 ircuits, Damped Frced Harmnic Mtin What Yu Need T Knw: The Physics OK this is basically a recap f what yu ve dne s far with circuits and circuits. Nw we get t put everything tgether

More information

CHAPTER 17. Solutions for Exercises. Using the expressions given in the Exercise statement for the currents, we have

CHAPTER 17. Solutions for Exercises. Using the expressions given in the Exercise statement for the currents, we have CHATER 7 Slutin f Execie E7. F Equatin 7.5, we have B gap Ki ( t ) c( θ) + Ki ( t ) c( θ 0 ) + Ki ( t ) c( θ 40 a b c ) Uing the expein given in the Execie tateent f the cuent, we have B gap K c( ωt )c(

More information

EE/ME/AE324: Dynamical Systems. Chapter 8: Transfer Function Analysis

EE/ME/AE324: Dynamical Systems. Chapter 8: Transfer Function Analysis EE/ME/AE34: Dynamical Sytem Chapter 8: Tranfer Function Analyi The Sytem Tranfer Function Conider the ytem decribed by the nth-order I/O eqn.: ( n) ( n 1) ( m) y + a y + + a y = b u + + bu n 1 0 m 0 Taking

More information

Lecture 13: Electrochemical Equilibria

Lecture 13: Electrochemical Equilibria 3.012 Fundamentals f Materials Science Fall 2005 Lecture 13: 10.21.05 Electrchemical Equilibria Tday: LAST TIME...2 An example calculatin...3 THE ELECTROCHEMICAL POTENTIAL...4 Electrstatic energy cntributins

More information

Determination of ionic product constant of water (K w ) Handout 2014

Determination of ionic product constant of water (K w ) Handout 2014 Determinatin f inic rduct cnstant f water (K w ) andut 2014 Determinatin f inic rduct cnstant f water (Kw) frm equilibrium tential measurement f a hydrgen electrde Overview In this exeriment we use an

More information

Lecture 4. Chapter 11 Nise. Controller Design via Frequency Response. G. Hovland 2004

Lecture 4. Chapter 11 Nise. Controller Design via Frequency Response. G. Hovland 2004 METR4200 Advanced Control Lecture 4 Chapter Nie Controller Deign via Frequency Repone G. Hovland 2004 Deign Goal Tranient repone via imple gain adjutment Cacade compenator to improve teady-tate error Cacade

More information

The Second Law implies:

The Second Law implies: e Send Law ilie: ) Heat Engine η W in H H L H L H, H H ) Ablute eerature H H L L Sale, L L W ) Fr a yle H H L L H 4) Fr an Ideal Ga Cyle H H L L L δ reerible ree d Claiu Inequality δ eerible Cyle fr a

More information

11. DUAL NATURE OF RADIATION AND MATTER

11. DUAL NATURE OF RADIATION AND MATTER 11. DUAL NATURE OF RADIATION AND MATTER Very shrt answer and shrt answer questins 1. Define wrk functin f a metal? The minimum energy required fr an electrn t escape frm the metal surface is called the

More information

Supplementary Course Notes Adding and Subtracting AC Voltages and Currents

Supplementary Course Notes Adding and Subtracting AC Voltages and Currents Supplementary Curse Ntes Adding and Subtracting AC Vltages and Currents As mentined previusly, when cmbining DC vltages r currents, we nly need t knw the plarity (vltage) and directin (current). In the

More information

Chem 163 Section: Team Number: ALE 24. Voltaic Cells and Standard Cell Potentials. (Reference: 21.2 and 21.3 Silberberg 5 th edition)

Chem 163 Section: Team Number: ALE 24. Voltaic Cells and Standard Cell Potentials. (Reference: 21.2 and 21.3 Silberberg 5 th edition) Name Chem 163 Sectin: Team Number: ALE 24. Vltaic Cells and Standard Cell Ptentials (Reference: 21.2 and 21.3 Silberberg 5 th editin) What des a vltmeter reading tell us? The Mdel: Standard Reductin and

More information

Plan o o. I(t) Divide problem into sub-problems Modify schematic and coordinate system (if needed) Write general equations

Plan o o. I(t) Divide problem into sub-problems Modify schematic and coordinate system (if needed) Write general equations STAPLE Physics 201 Name Final Exam May 14, 2013 This is a clsed bk examinatin but during the exam yu may refer t a 5 x7 nte card with wrds f wisdm yu have written n it. There is extra scratch paper available.

More information

NUMBERS, MATHEMATICS AND EQUATIONS

NUMBERS, MATHEMATICS AND EQUATIONS AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t

More information

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string? Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)

More information

Chapter 9: Controller design. Controller design. Controller design

Chapter 9: Controller design. Controller design. Controller design Chapter 9. Controller Deign 9.. Introduction 9.2. Eect o negative eedback on the network traner unction 9.2.. Feedback reduce the traner unction rom diturbance to the output 9.2.2. Feedback caue the traner

More information

Finding the Earth s magnetic field

Finding the Earth s magnetic field Labratry #6 Name: Phys 1402 - Dr. Cristian Bahrim Finding the Earth s magnetic field The thery accepted tday fr the rigin f the Earth s magnetic field is based n the mtin f the plasma (a miture f electrns

More information

ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS

ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS On cmpletin f this tutrial yu shuld be able t d the fllwing. Define viscsity

More information

ECE Linear Circuit Analysis II

ECE Linear Circuit Analysis II ECE 202 - Linear Circuit Analyi II Final Exam Solution December 9, 2008 Solution Breaking F into partial fraction, F 2 9 9 + + 35 9 ft δt + [ + 35e 9t ]ut A 9 Hence 3 i the correct anwer. Solution 2 ft

More information

Coupled Inductors and Transformers

Coupled Inductors and Transformers Cupled nductrs and Transfrmers Self-nductance When current i flws thrugh the cil, a magnetic flux is prduced arund it. d d di di v= = = dt di dt dt nductance: = d di This inductance is cmmnly called self-inductance,

More information

Definition of Strain. Tutorial

Definition of Strain. Tutorial Defit f Stra Tutrial Part 1. Defit f Stra Stra is the parameter used t quantify the defrmat f an bject. In igure 1B and 1C, ppsg frces are applied t each end f a rd with an rigal length f L. The applied

More information

LCAO APPROXIMATIONS OF ORGANIC Pi MO SYSTEMS The allyl system (cation, anion or radical).

LCAO APPROXIMATIONS OF ORGANIC Pi MO SYSTEMS The allyl system (cation, anion or radical). Principles f Organic Chemistry lecture 5, page LCAO APPROIMATIONS OF ORGANIC Pi MO SYSTEMS The allyl system (catin, anin r radical).. Draw mlecule and set up determinant. 2 3 0 3 C C 2 = 0 C 2 3 0 = -

More information

Measurement and Instrumentation Lecture Note: Strain Measurement

Measurement and Instrumentation Lecture Note: Strain Measurement 0-60 Meurement nd Intrumenttin Lecture Nte: Strin Meurement eview f Stre nd Strin Figure : Structure under tenin Frm Fig., xil tre σ, xil trin, trnvere trin t, Pin' rti ν, nd Yung mdulu E re σ F A, dl

More information

POWER AMPLIFIERS. 1. Explain what are classes A, B, AB and C amplifiers in terms of DC biasing using a MOSFET drain characteristic.

POWER AMPLIFIERS. 1. Explain what are classes A, B, AB and C amplifiers in terms of DC biasing using a MOSFET drain characteristic. CTONIC 3 XCI OW AMII. xpla what are classes A, B, AB and C amplifiers terms f DC biasg usg a MOT dra characteristic.. efer t the graphs f page and the table at the tp f page 3 f the thery ntes t answer

More information

A Novel Loss Estimation Technique for Power Converters

A Novel Loss Estimation Technique for Power Converters A Nvel L Etimatin Technique fr Pwer Cnverter K.LAVANYA, B.UMAMAHESWARI, S.K.PATNAIK Department f Electrical an Electrnic Engineering Anna Univerity Chennai-65 INDIA Abtract: - Thi paper preent a feaible

More information

Lecture 12 - Non-isolated DC-DC Buck Converter

Lecture 12 - Non-isolated DC-DC Buck Converter ecture 12 - Non-iolated DC-DC Buck Converter Step-Down or Buck converter deliver DC power from a higher voltage DC level ( d ) to a lower load voltage o. d o ene ref + o v c Controller Figure 12.1 The

More information

Projection Moiré Profilometry using Liquid Crystal Digital Gratings

Projection Moiré Profilometry using Liquid Crystal Digital Gratings 0th IMEKO TC4 ymsium n Braunschweig, GERMAY, 20, etember 2-4 Prjectin Miré Prfilmetry using iquid Crystal Digital Gratings Fumi Kbayashi, Center fr Otical Research and Educatin, Utsunmiya University; Yukitshi

More information

An Empirical Study of Frost Accumulation Effects on Louvered-Fin, Microchannel Heat Exchangers

An Empirical Study of Frost Accumulation Effects on Louvered-Fin, Microchannel Heat Exchangers Purdue Univerity Purdue e-pub Internatinal Refrigeratin and Air Cnditining Cnference Schl f Mechanical Engineering 4 An Empirical Study f Frt Accumulatin Effect n Luvered-Fin, Micrchannel Heat Exchanger

More information

Physical Layer: Outline

Physical Layer: Outline 18-: Intrductin t Telecmmunicatin Netwrks Lectures : Physical Layer Peter Steenkiste Spring 01 www.cs.cmu.edu/~prs/nets-ece Physical Layer: Outline Digital Representatin f Infrmatin Characterizatin f Cmmunicatin

More information

Physics 321 Solutions for Final Exam

Physics 321 Solutions for Final Exam Page f 8 Physics 3 Slutins fr inal Exa ) A sall blb f clay with ass is drpped fr a height h abve a thin rd f length L and ass M which can pivt frictinlessly abut its center. The initial situatin is shwn

More information